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142004484 = 223223414789
BaseRepresentation
bin10000111011011…
…01000100000100
3100220012120112100
420131231010010
5242323120414
622031352100
73343006146
oct1035550404
9326176470
10142004484
1173181086
123b682630
132355c82b
1414c06c96
15c700609
hex876d104

142004484 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 42746880.

The previous prime is 142004453. The next prime is 142004497. The reversal of 142004484 is 484400241.

It is a happy number.

142004484 is a `hidden beast` number, since 14 + 200 + 448 + 4 = 666.

It is a super-2 number, since 2×1420044842 = 40330546952212512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595512 + ... + 1595600.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2142004484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142004484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

142004484 is an abundant number, since it is smaller than the sum of its proper divisors (254260476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142004484 is a wasteful number, since it uses less digits than its factorization.

142004484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 142004484 is about 11916.5634307883. The cubic root of 142004484 is about 521.7158359998.

The spelling of 142004484 in words is "one hundred forty-two million, four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 47 69 82 89 92 94 123 138 141 164 178 188 207 246 267 276 282 356 369 414 423 492 534 564 738 801 828 846 943 1068 1081 1476 1602 1692 1886 1927 2047 2162 2829 3204 3243 3649 3772 3854 4094 4183 4324 5658 5781 6141 6486 7298 7708 8188 8366 8487 9729 10947 11316 11562 12282 12549 12972 14596 16732 16974 17343 18423 19458 21894 23124 24564 25098 32841 33948 34686 36846 37647 38916 43788 44321 50196 65682 69372 73692 75294 83927 88642 96209 131364 132963 150588 167854 171503 177284 192418 251781 265926 288627 335708 343006 384836 398889 503562 514509 531852 577254 686012 755343 797778 865881 1007124 1029018 1154508 1510686 1543527 1595556 1731762 2058036 3021372 3087054 3463524 3944569 6174108 7889138 11833707 15778276 23667414 35501121 47334828 71002242 142004484